Let's divide 132523 by 15
We want to figure out the number of times 132523 can be divided by 15.

Moving on to step 1:
15 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 15

Going ahead to step 2:
15 goes into 13 0 times with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Fetch the next digit (2) from the dividend, attach it to 13 and continue: 132 / 15

Advancing to step 3:
If we divide 132 by 15, we get 8 and a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we take 120 away from 132, we end up with 12.
Include the next digit (5) from the dividend after 12, then repeat: 125 / 15

Let's proceed to step 4:
15 goes into 125 8 times with a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 88.0
If we take 120 away from 125, we end up with 5.
Grab the next digit (2) from the dividend, add it to 5, then carry on: 52 / 15

On to step 5:
If we divide 52 by 15, we get 3 and a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 883.0
If we subtract 45 from 52, we get 7.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 15

Going ahead to step 6:
When dividing 73 by 15, we get 4 with a remainder of 13.
The number 4 becomes the next digit in our result. 
Result so far: 8834.0
If we take 60 away from 73, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 7:
When dividing 130 by 15, we get 8 with a remainder of 10.
The next digit of our result is 8. 
Result so far: 8834.8
Subtract 120 from 130 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
When dividing 100 by 15, we get 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 8834.86
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 8834.866
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 8834.866, and the remainder is 0.001.